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15 February, 03:49

How long would it take for 3.5 C of charge to pass through a cross-sectional area of a wire in which a current of 5 mA passes?

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  1. 15 February, 06:39
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    The time taken for the charge to pass through the wire = 700 s or 11.67 minutes or 0.194 hours

    Explanation:

    Electric Charge: This is defined as the product of electric current to time in a an electric circuit. The S. I unit of charge is Coulombs (C).

    Mathematically, it is represented as

    Q = it ... Equation 1

    Where Q = quantity of charge, I = current, t = time

    making t the subject of formula in equation 1,

    t = Q/I ... Equation 2

    Given: Q = 3.5 C, I = 5 mA.

    Conversion: We convert from mA to A

    I. e 5 mA = (5 * 10⁻³) A = 0.005 A.

    Substituting these values into equation 2

    t = 3.5/0.005

    t = 700 seconds

    or

    (700/60) minutes = 11.67 minutes

    or

    (700/3600) hours = 0.194 hours.

    Therefore the time taken for the charge to pass through the wire = 700 s or 11.67 minutes or 0.194 hours
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